1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LenKa [72]
3 years ago
5

A recent study reported that 1.5 percent of flights are canceled by major air carriers. Consider a simulation with 50 trials des

igned to estimate the number of canceled flights from a random sample of size 100, where the probability of success, a canceled flight, is 0.015.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
0 0

Step-by-step explanation:

<em>"Of the following dotplots, which best represents the possible results from the simulation described?"</em>

The sample size is 100, and the probability of success is 0.015, so the expected value is 1.5.  Meaning we would expect a dotplot with most of the dots at 1 and 2.

You might be interested in
You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte
Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \,  otherwise }} \right.

a)  We calculate  the probability that you need less than 5 minutes to get up:

P(x

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate  the probability that you will need between 8 and 13 minutes:

P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3

Therefore, the probability is P(8<x<13)=0.3.

d)  We calculate the probability that you will be late to each of the 9:30am classes next week:

P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6

You have 9:30am classes three times a week.  So, we get:

P=0.6^3=0.216

Therefore, the probability is P=0.216.

e)  We calculate the probability that you are late to at least one 9am class next week:

P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1

Therefore, the probability is P=1.

3 0
3 years ago
A triangle has one angle measuring 3x degrees. A second angle measures 2x + 20 degrees and the third angle measures 4x -20 degre
Maurinko [17]
All the interior angles of a triangle always add up to 180 degrees.

3x + (2x + 20) + (4x - 20) = 180
3x + 2x + 20 + 4x - 20 = 180
3x + 2x + 4x + 20 - 20 = 180
10x = 180
x = 180/10
Therefore, x = 18
4 0
3 years ago
Read 2 more answers
A car travels 50 km in 2 liters find
Savatey [412]
It can travel 125km with 5 liters
And 6 liters to travel 150 :)
5 0
2 years ago
Read 2 more answers
5,5,3 Is this a triangle? Explain.
Vlad1618 [11]

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

==========================================================

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

==========================================================

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
4 0
2 years ago
Exponential growth and decay:
Stella [2.4K]

Answer:

125 g

Step-by-step explanation:

500/2=250

250/2=125

7 0
3 years ago
Read 2 more answers
Other questions:
  • How to write an equation in standard form
    15·1 answer
  • How much money will you have if you started with $45 and put it in an account that earned 10% every year for 20 years
    9·1 answer
  • Horace is running a race. He begins to wonder how fast he is running. Which unit rates would be reasonable for Horace to use to
    10·2 answers
  • What is the volume of 5 10 and 10
    10·2 answers
  • A man has 30 coins, which are all dimes or nickels. Their combined value is $2.10. How many coins of each kind does he have? Let
    15·2 answers
  • Look at the diagram and the following information to find the value of x.
    5·1 answer
  • The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3
    10·2 answers
  • Each page of scrapbook has 144 square inches. In arts and crafts class there will be 13 students. How many pages of scrapbook pa
    7·2 answers
  • On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance
    10·1 answer
  • Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee<br><br><br> tq
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!